ax bx c = 0 - StudyTime NZ

QUESTIONS:
2014; 2a
2013; 2c
2012; 2aii
solving Quadratic equations
USING GRAPHICS CALCULATOR
ax2 +- bx +- c = 0 (MENU - EQUA - POLYNOMIAL (F2))
Quadratic equations can be
solved using a graphics
calculator with the polynomial
function under Equations
2
3x
-10x -8
for instance
2
x + 7x = 18
A quadratic equation in the form ax2 +- bx +- c can be solved
using a graphics calculator by inputting the a, b and c
constants into the polynmial function under equations.
Simple questions will require you to solve basic
quadratic equations where you will be given the
formula.
MENU EQUA Polynomial (F2) Degree 2 (F1) Enter
values for a, b, c SOLV (F1) Solutions for x Higher level questions will require you to use a
combiantion of methods to solve more complex
quadratic equations or may involve forming your
own equations from information before solving
them.
The equation may not be given to you initially in the
ax2 +- bx +- c format and you may need to rearrange the equation before inputting the constants into the calculator.
practice Question
Solve
3x2 -10x -8
x2 + 7x = 18
Example One
Example Two
Identify constants
and put in calculator
Identify constants and put in
calculator
Identify
constants
Input
constants in
calculator
3x 2 -10x -8
a=3 , b=-10, c=-8
MENU EQUA Polynomial (F2)
Degree 2 (F1) Enter a=3, b=-10, c=-8 SOLV (F1)
And get
x=4
x = -0.666
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Rearrange
Identify
constants
Input
constants in
calculator
x2 + 7x = 18
x2+ 7x -18=0
x2+ 7x -18
a=1 , b=7, c=-18
MENU EQUA Polynomial (F2)
Degree 2 (F1) Enter a=1, b=7,
c=-18 SOLV (F1)
x=2
And get x = -9